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Finding the Fourth Proportional to 2,812.04, 4,217.54 and 837.62

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Solution

The fourth proportional to 2,812.04, 4,217.54 and 837.62 is: 1,256.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.04 : 4,217.54 = 837.62 : x
  2. Step 2: Convert to fraction form
    2,812.04/4,217.54 = 837.62/x
  3. Step 3: Cross multiply
    2,812.04x = 4,217.54 × 837.62
  4. Step 4: Simplify right side
    2,812.04x = 3,532,695.85
  5. Step 5: Solve for x
    x = 3,532,695.85/2,812.04
  6. Step 6: Final answer
    x = 1,256.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.